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Finding the Third Proportional to 93,624 and 166,480

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Solution

The third proportional to 93,624 and 166,480 is: 296,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,624 : 166,480 = 166,480 : x
  2. Step 2: Convert to fraction form
    93,624/166,480 = 166,480/x
  3. Step 3: Cross multiply
    93,624x = 166,480 × 166,480
  4. Step 4: Simplify right side
    93,624x = 27,715,590,400
  5. Step 5: Solve for x
    x = 27,715,590,400/93,624
  6. Step 6: Final answer
    x = 296,030.83

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.